Open AccessThe von Neumann boson-antiboson pair creation quantum entanglement entropy in noncommutative Bianchi I space-time
Author(s) -
M. F. Ghiti,
N. Mebarki,
H. Aissaoui
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1766/1/012023
Subject(s) - noncommutative geometry , von neumann entropy , quantum entanglement , physics , mathematical physics , boson , noncommutative quantum field theory , quantum , von neumann architecture , quantum mechanics , quantum field theory , entropy (arrow of time) , pure mathematics , mathematics
The noncommutative Bianchi I curved space-time vierbeins and spin connections are derived. Moreover, a general Klein-Gordon equation up to the second order of the noncommutativity θ paramter and its solutions are presented. As an application within the quantum field theory approach using Bogoliubov transformations, the von Neumann boson-antiboson pair creation quantum entanglement entropy is studied. It is shown that its behavior is strongly dependent on the value of the noncommutativity θ parameter, k ⊥ modes frequencies and the structure of the curved Bianchi I space-time. various discussions of the obtained numerical results are presented.